Inhomogeneous Poisson Process

An inhomogeneous Poisson process is a Poisson process with a time-varying rate. It can be used to model the arrival times of customers at a store, events of traffic, and positions of damage along a road. The probability density function of the process at any time slice t is Poisson distributed.

An inhomogeneous Poisson process can be used to model arrival counts. Here, the process is used to simulate the number of arrivals at a small fast-food restaurant if the hourly arrival rates of customers are given.